Limit theorems for dilute quantum systems leading to quantum Poisson processes

DOI10.1016/0034-4877(93)90002-VzbMath0808.60087OpenAlexW2068997910MaRDI QIDQ1340764

Sławomir Sadowski, Sławomir Rudnicki, Robert Alicki

Publication date: 12 March 1995

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90002-v

zbMATH Keywords

Fermi lattice gasquantum Poisson processesrelations between low density limit and central limit

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Quantum stochastic calculus (81S25)

Cites Work

• Unnamed Item
• Quantum Ito's formula and stochastic evolutions
• Non-commutative central limits
• The weak coupling limit as a quantum functional central limit
• Central limit theorem for mixing quantum systems and the CCR-algebra of fluctuations
• Quantum Poisson processes and dilations of dynamical semigroups
• Free states of the canonical anticommutation relations
• QUANTUM ITO’S FORMULA
• The low-density limit in terms of collective squeezed vectors

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